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61050066 = 23711241293
BaseRepresentation
bin1110100011100…
…0110011010010
311020212122221120
43220320303102
5111112100231
610020303110
71340626350
oct350706322
9136778846
1061050066
1131508900
1218541a96
13c856bcc
1481727d0
15555dd96
hex3a38cd2

61050066 has 96 divisors (see below), whose sum is σ = 157659264. Its totient is φ = 15417600.

The previous prime is 61050053. The next prime is 61050071. The reversal of 61050066 is 66005016.

61050066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×610500662 = 7454221117208712, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208216 + ... + 208508.

It is an arithmetic number, because the mean of its divisors is an integer number (1642284).

Almost surely, 261050066 is an apocalyptic number.

61050066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61050066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78829632).

61050066 is an abundant number, since it is smaller than the sum of its proper divisors (96609198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61050066 is a wasteful number, since it uses less digits than its factorization.

61050066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 61050066 is about 7813.4541657323. The cubic root of 61050066 is about 393.7573853994.

The spelling of 61050066 in words is "sixty-one million, fifty thousand, sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 41 42 66 77 82 121 123 154 231 242 246 287 293 363 451 462 574 586 726 847 861 879 902 1353 1694 1722 1758 2051 2541 2706 3157 3223 4102 4961 5082 6153 6314 6446 9471 9669 9922 12013 12306 14883 18942 19338 22561 24026 29766 34727 35453 36039 45122 67683 69454 70906 72078 84091 104181 106359 132143 135366 168182 208362 212718 248171 252273 264286 396429 496342 504546 744513 792858 925001 1453573 1489026 1850002 2775003 2907146 4360719 5550006 8721438 10175011 20350022 30525033 61050066